Найдите корень уравнения ( 1 4 ) 4 𝑥 + 1 ⋅ ( 1 4 ) 5 − 2 𝑥 = 1 16 . ${\left(\frac{1}{4}\right)}^{4x+1}\cdot {\left(\frac{1}{4}\right)}^{5-2x}=\frac{1}{16}.$